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Finding the Fourth Proportional to 3,618, 4,992.84 and 2,046.06

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Solution

The fourth proportional to 3,618, 4,992.84 and 2,046.06 is: 2,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618 : 4,992.84 = 2,046.06 : x
  2. Step 2: Convert to fraction form
    3,618/4,992.84 = 2,046.06/x
  3. Step 3: Cross multiply
    3,618x = 4,992.84 × 2,046.06
  4. Step 4: Simplify right side
    3,618x = 10,215,650.21
  5. Step 5: Solve for x
    x = 10,215,650.21/3,618
  6. Step 6: Final answer
    x = 2,823.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.